Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2023, Volume 114, Issue 2, Pages 203–211
DOI: https://doi.org/10.4213/mzm13741 (Mi mzm13741) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Some Classes of Bases in Finite-Dimensional Lie Algebras

V. V. Gorbatsevich
Full-text PDF (485 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm13741
Abstract: In the paper, Lie algebras having bases of a special form (nice and beautiful bases) are considered. For nice bases, it is proved that, in a chosen nilpotent Lie algebra, their number (up to equivalence) is finite. For some Lie algebras of low dimension, it is shown that, when passing from a complex Lie algebra to its realification, the property to have a beautiful basis is lost.
Keywords: Lie algebra, nice basis, equivalent bases.
Received: 27.09.2022
Revised: 22.12.2022
English version:
Mathematical Notes, 2023, Volume 114, Issue 2, Pages 165–171
DOI: https://doi.org/10.1134/S0001434623070180
Bibliographic databases:
Document Type: Article
UDC: 512.554.1
Language: Russian
Citation: V. V. Gorbatsevich, “On Some Classes of Bases in Finite-Dimensional Lie Algebras”, Mat. Zametki, 114:2 (2023), 203–211; Math. Notes, 114:2 (2023), 165–171
Citation in format AMSBIB
\Bibitem{Gor23}
\by V.~V.~Gorbatsevich
\paper On Some Classes of Bases in Finite-Dimensional Lie Algebras
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 2
\pages 203--211
\mathnet{http://mi.mathnet.ru/mzm13741}
\crossref{https://doi.org/10.4213/mzm13741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4634784}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 2
\pages 165--171
\crossref{https://doi.org/10.1134/S0001434623070180}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85168584286}
Linking options:
  • https://www.mathnet.ru/eng/mzm13741
  • https://doi.org/10.4213/mzm13741
  • https://www.mathnet.ru/eng/mzm/v114/i2/p203
    • This publication is cited in the following 1 articles:
    1. V. V. Gorbatsevich, “Letter to the Editor”, Math. Notes, 115:1 (2024), 131–131  mathnet  mathnet  crossref  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:206
    Full-text PDF :27
    Russian version HTML:138
    References:43
    First page:25
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025